Revisiting Some Duality Theorems via the Quasirelative Interior in Convex Optimization

R. I. Boţ, E. R. Csetnek and A. Moldovan ()
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R. I. Boţ: Chemnitz University of Technology
E. R. Csetnek: Chemnitz University of Technology
A. Moldovan: University of Pisa

Journal of Optimization Theory and Applications, 2008, vol. 139, issue 1, No 5, 67-84

Abstract: Abstract In this paper, we deal with regularity conditions formulated by making use of the quasirelative interior and/or of the quasi-interior of the sets involved, guaranteeing strong duality for a convex optimization problem with cone (and equality) constraints and its Lagrange dual. We discuss also some recent results on this topic, which are proved to have either superfluous or contradictory assumptions. Several examples illustrate the theoretical considerations.

Keywords: Lagrange duality; Separation theorems; Regularity conditions; Quasirelative interior; Quasi-interior (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (13)

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DOI: 10.1007/s10957-008-9412-4

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